Question: Please help with this linear alegbra question on inner products and the unit ball. PROBLEM 3.4: Let A be the 2 x 2 matrix 1

Please help with this linear alegbra question on inner products and the unit ball.

PROBLEM 3.4: Let A be the 2 x 2 matrix 1 A = -1/2 La/i- For x, y E R2, define (x, y) A = y Axc. 1. Show that (., .) A is indeed a valid inner product. 2. Sketch the unit ball BA = {ac : (lac||A

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